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Finding the Third Proportional to 9,701,198 and 16,167,690

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Solution

The third proportional to 9,701,198 and 16,167,690 is: 26,944,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701,198 : 16,167,690 = 16,167,690 : x
  2. Step 2: Convert to fraction form
    9,701,198/16,167,690 = 16,167,690/x
  3. Step 3: Cross multiply
    9,701,198x = 16,167,690 × 16,167,690
  4. Step 4: Simplify right side
    9,701,198x = 261,394,199,936,100
  5. Step 5: Solve for x
    x = 261,394,199,936,100/9,701,198
  6. Step 6: Final answer
    x = 26,944,527.88

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.